Abstract
In this chapter we describe the main characteristics of the CR model. After a brief introduction and a detailed study of all the possible wave interactions, we prove the existence of a weighted total variation that does not increase after any interaction. This is the main ingredient used in the last section to tackle the Cauchy problem through wave front tracking.
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Rosini, M.D. (2013). The CR Model. In: Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications. Understanding Complex Systems. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00155-5_16
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DOI: https://doi.org/10.1007/978-3-319-00155-5_16
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00154-8
Online ISBN: 978-3-319-00155-5
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